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Finding the Fourth Proportional to 15,726, 21,706.74 and 10,137

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Solution

The fourth proportional to 15,726, 21,706.74 and 10,137 is: 13,992.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,726 : 21,706.74 = 10,137 : x
  2. Step 2: Convert to fraction form
    15,726/21,706.74 = 10,137/x
  3. Step 3: Cross multiply
    15,726x = 21,706.74 × 10,137
  4. Step 4: Simplify right side
    15,726x = 220,041,223.38
  5. Step 5: Solve for x
    x = 220,041,223.38/15,726
  6. Step 6: Final answer
    x = 13,992.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.